Answer:
There are 240 boys.
Step-by-step explanation:
There are five boys to every three girls in an introductory Chinese course. Given that there are 384 students enrolled in total, we want to determine the amount of students which are boys.
Let <em>b</em> represent the number of boys and <em>g</em> girls.
Since the ratio is 5:3, we can write that:
And since the total number of students is 384:
From the first equation, cross-multiply:
Solve for <em>g: </em>
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Substitute:
Simplify:
Solve for <em>b: </em>
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In conclusion, 240 of the total students are boys.
Given:
The area of the rectangle RSTU = 
Length of the rectangle RSTU = 
To find:
The width of the rectangle RSTU.
Step-by-step explanation:
We have,
Splitting the middle term, we get
We know that, the area of a rectangle is
Area of rectangle is product of (4x+5) and (9x-5).
Since (4x+5) is the length of the rectangle, therefore, (9x-5) is the width of the rectangle RSTU.
8 hours.....................................
Answer:
x = 1 and y = 2 is the solution of the given system of equations.
Step-by-step explanation:
Here, the given system of equations is:
2x + y = 4 ........ (1)
-3x + y = -1 ......... (2)
Now, from (1) y = 4 - 2x
Substitute this value of y in (2), we get
-3x + y = -1 ⇒ -3x + 4 - 2x = -1
or, -5x = -5
or, x = 1
Also, y = 4 - 2x = 4 - 2(1)
= 4 -2 = 2
⇒ y = 2
The point (1,2) is the solution of the given system.
Hence, x = 1 and y = 2 is the solution of the given system of equations.
